Finite filtrations of modules and shellable multicomplexes |
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| Authors: | Jürgen Herzog Dorin Popescu |
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| Institution: | 1. Fachbereich Mathematik und Informatik, Universit?t Duisburg–Essen, Campus Essen, 45117, Essen, Germany
2. Institute of Mathematics “Simion Stoilow”, University of Bucharest, P.O. Box 1-764, Bucharest, 014700, Romania
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| Abstract: | We introduce pretty clean modules, extending the notion of clean modules by Dress, and show that pretty clean modules are sequentially Cohen–Macaulay. We also extend a theorem of Dress on shellable simplicial complexes to multicomplexes. |
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| Keywords: | 13C13 13C14 05E99 16W70 |
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